Equation for the equivalent resistance of parallel resistors|class 10@Nowshadkhan

Equation for the equivalent resistance of parallel resistors|class 10 @Nowshadkhan
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Deduce the expression for equivalent resistance for three resistors connected in parallel? (AS1)

(TQ)
When two or more resistors are connected between two common points whose end will be at higher
potential and other at lower potential in a circuit, the resistors are said to be in parallel.
For parallel combination, we know that
1. The total current(I) flowing into the combination is equal to the sum of currents passing through
the individual resistors.
2. The potential difference is same in all resistors connect the circuit as shown.
3. The cell connected across three resistors maintains the same potential difference across each
resistor.
4. The current (I) divided into I1, I2, I3 which flows through resistors R1, R2, R3 Respectively.
5. Let replace the all resistors with equivalent resistance Req.
Equivalent resistance, Req=

(
⇒ I =
) *
-------(1)
6. Similarly, I1 =

)+
, I2 =

),
and I3 =

)-
.
7. Since Resistance in parallel combination. So, I = I1 + I2 + I3

) *

=



)+

+



),

+



)-
.
⇒

) *
=

)+
+

),
+

)-

(or) R = )+),)-
)+),/),)-/)-)+
When resistors are connected in parallel, the reciprocal of their equivalent resistance is equal
to the sum of the reciprocals of the individuals resistances.10th class physical important questions explanation
10th class maths important questions explanation
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